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Solve tan2x=-cot (x+pi/3)....

Solve `tan2x=-cot (x+pi/3)`.

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The correct Answer is:
`x = n pi + (5pi)/6, n in mathbbZ`
`tan2x=-cot (x+pi/3)`
`tan2x=tan (pi/2 + x+pi/3)`
`tan2x=tan (x+ (5 pi)/6)`
`implies 2x = n pi + x + (5pi)/6`
`implies x = n pi + (5pi)/6, \ n in mathbbZ`
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